<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Talk%3AExotemperament</id>
	<title>Talk:Exotemperament - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=Talk%3AExotemperament"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;action=history"/>
	<updated>2026-06-11T08:30:51Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.6</generator>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;diff=89666&amp;oldid=prev</id>
		<title>Bootmii: /* Low complexity criterion */</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;diff=89666&amp;oldid=prev"/>
		<updated>2022-03-19T01:43:24Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Low complexity criterion&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:43, 19 March 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;:: So you have any idea if (and maybe how) this could be translated into categories? Where would you see boundaries (between size orders, magnitudes)? In the size domain (cents) we also use double categorization in cases of doubt, in the same way, we would not need hard-core borders here. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 23:16, 29 June 2021 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;:: So you have any idea if (and maybe how) this could be translated into categories? Where would you see boundaries (between size orders, magnitudes)? In the size domain (cents) we also use double categorization in cases of doubt, in the same way, we would not need hard-core borders here. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 23:16, 29 June 2021 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:In my view, a low-complexity comma is one that either (1) tempers two odd-limit consonances together or (2) is less complex than 81/80. [[User:Bootmii|Bootmii]] ([[User talk:Bootmii|talk]]) 01:43, 19 March 2022 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Bootmii</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;diff=73433&amp;oldid=prev</id>
		<title>Xenwolf: /* Low complexity criterion */ re</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;diff=73433&amp;oldid=prev"/>
		<updated>2021-06-29T23:16:41Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Low complexity criterion: &lt;/span&gt; re&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:16, 29 June 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;When exactly do we speak of a low-complexity comma? Answering that question could open up options for &amp;#039;&amp;#039;&amp;#039;new&amp;#039;&amp;#039;&amp;#039; [[:category:comma|categories for commas]] (we currently sub-categorize them by size). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 22:05, 27 June 2021 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;When exactly do we speak of a low-complexity comma? Answering that question could open up options for &amp;#039;&amp;#039;&amp;#039;new&amp;#039;&amp;#039;&amp;#039; [[:category:comma|categories for commas]] (we currently sub-categorize them by size). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 22:05, 27 June 2021 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;:It&#039;s the [[complexity]] of the comma as an interval. So there are multiple ways to define it precisely, but they&#039;re all highly correlated. Examples: [[Benedetti height]]/[[Tenney height]], [[Tenney-Euclidean metrics#TE norm|TE norm]], [[Generalized Tenney Norms and Tp Interval Space]], [[Kees height]]... —[[User:Keenan Pepper|Keenan Pepper]] ([[User talk:Keenan Pepper|talk]]) 20:23, 29 June 2021 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: It&#039;s the [[complexity]] of the comma as an interval. So there are multiple ways to define it precisely, but they&#039;re all highly correlated. Examples: [[Benedetti height]]/[[Tenney height]], [[Tenney-Euclidean metrics#TE norm|TE norm]], [[Generalized Tenney Norms and Tp Interval Space]], [[Kees height]]... —[[User:Keenan Pepper|Keenan Pepper]] ([[User talk:Keenan Pepper|talk]]) 20:23&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, 29 June 2021 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:: So you have any idea if (and maybe how) this could be translated into categories? Where would you see boundaries (between size orders, magnitudes)? In the size domain (cents) we also use double categorization in cases of doubt, in the same way, we would not need hard-core borders here. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 23:16&lt;/ins&gt;, 29 June 2021 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Xenwolf</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;diff=73418&amp;oldid=prev</id>
		<title>Keenan Pepper at 20:23, 29 June 2021</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;diff=73418&amp;oldid=prev"/>
		<updated>2021-06-29T20:23:44Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:23, 29 June 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;When exactly do we speak of a low-complexity comma? Answering that question could open up options for &amp;#039;&amp;#039;&amp;#039;new&amp;#039;&amp;#039;&amp;#039; [[:category:comma|categories for commas]] (we currently sub-categorize them by size). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 22:05, 27 June 2021 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;When exactly do we speak of a low-complexity comma? Answering that question could open up options for &amp;#039;&amp;#039;&amp;#039;new&amp;#039;&amp;#039;&amp;#039; [[:category:comma|categories for commas]] (we currently sub-categorize them by size). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 22:05, 27 June 2021 (UTC)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:It&#039;s the [[complexity]] of the comma as an interval. So there are multiple ways to define it precisely, but they&#039;re all highly correlated. Examples: [[Benedetti height]]/[[Tenney height]], [[Tenney-Euclidean metrics#TE norm|TE norm]], [[Generalized Tenney Norms and Tp Interval Space]], [[Kees height]]... —[[User:Keenan Pepper|Keenan Pepper]] ([[User talk:Keenan Pepper|talk]]) 20:23, 29 June 2021 (UTC)&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Keenan Pepper</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;diff=73305&amp;oldid=prev</id>
		<title>Xenwolf: /* Low complexity criterion */ new section</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=Talk:Exotemperament&amp;diff=73305&amp;oldid=prev"/>
		<updated>2021-06-27T22:05:21Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Low complexity criterion: &lt;/span&gt; new section&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Low complexity criterion ==&lt;br /&gt;
&lt;br /&gt;
When exactly do we speak of a low-complexity comma? Answering that question could open up options for &amp;#039;&amp;#039;&amp;#039;new&amp;#039;&amp;#039;&amp;#039; [[:category:comma|categories for commas]] (we currently sub-categorize them by size). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 22:05, 27 June 2021 (UTC)&lt;/div&gt;</summary>
		<author><name>Xenwolf</name></author>
	</entry>
</feed>